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Finding the Fourth Proportional to 443.34, 613.17 and 381.24

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Solution

The fourth proportional to 443.34, 613.17 and 381.24 is: 527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.34 : 613.17 = 381.24 : x
  2. Step 2: Convert to fraction form
    443.34/613.17 = 381.24/x
  3. Step 3: Cross multiply
    443.34x = 613.17 × 381.24
  4. Step 4: Simplify right side
    443.34x = 233,764.93
  5. Step 5: Solve for x
    x = 233,764.93/443.34
  6. Step 6: Final answer
    x = 527.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.